Post on 21-Nov-2015
description
COLUMNAS DE DIMENCIONES 30*45 CM30cm*45cm con un =1%
cm
45
30
cm
COLUMNA
BASE (m)0,3
ALTURA (m)0,45
AREA (Ag)0,135materialespsiMpa kpa
cuanta %0,01concreto (fc)40002828000
Ast (m2)0,00135acero (f)60000420420000
As(m2)0,000675
d (m)0,39
d (m)0,06
fs (KN/m2)1694,1176
0,7
Falla Balanceada
cb (m)pub (KN)Mube (m)e (m)muPmxPmin
0,2294974,61350,560,360,19189,82624378
Falla por Compresin
CpubMubeemufs (Mpa)
0,23974,61350,560,360,19189,8420
0,241037,22358,670,350,18187,5377
0,251098,22366,410,330,17185,2338
0,261157,79373,790,320,16182,8302
0,271216,10380,810,310,15180,2269
0,281273,27387,470,300,14177,4237
0,291329,42393,770,300,13174,4209
0,301384,67399,700,290,12171,2182
0,311439,08405,280,280,12167,8156
0,321492,76410,490,270,11164,2133
0,331545,75415,350,270,10160,3110
0,341598,12419,840,260,10156,289
0,351649,92423,970,260,09151,770
0,361701,21427,740,250,09147,051
0,371752,02431,150,250,08142,133
0,381802,39434,200,240,08136,817
0,391852,36436,890,240,07131,21
Falla por Traccin
CpubMubeemufs'
0,23985,51354,160,360,19191,6443
0,22943,03344,580,370,20189,0436
0,21900,55334,530,370,21185,9428
0,20858,06324,000,380,21182,4419
0,19815,58312,970,380,22178,4410
0,18773,10301,410,390,22173,8399
0,17730,62289,290,400,23168,7388
0,16688,13276,580,400,24163,0374
0,15645,65263,230,410,24156,7359
0,14603,17249,180,410,25149,7342
0,13560,68234,360,420,25141,8322
0,12518,20218,650,420,26133,1299
0,11475,72201,910,420,26123,4271
0,10433,23183,960,420,26112,5238
0,09390,75164,480,420,26100,0197
30cm*45cm con un =2%
COLUMNA
BASE (m)0,345
ALTURA (m)0,45
AREA (Ag)0,135
cuanta %0,0230
Ast (m2)0,0027
As(m2)0,00135
d (m)0,39
d (m)0,06materialespsiMpa kpa
fs (KN/m2)1694,1176concreto (fc)40002828000
0,7acero (f)60000420420000
Falla balanceada
cb (m)pub (KN)Mube (m)e (m)muPmxPmin
0,2294974,61416,050,430,26255,23020378
Falla por compresin
CpubMubeemufs (Mpa)
0,23974,61416,050,430,26255,2420
0,241057,35424,150,400,24249,7377
0,251136,87431,900,380,21244,3338
0,261213,53439,280,360,20239,0302
0,271287,65446,300,350,18233,8269
0,281359,51452,960,330,17228,6237
0,291429,34459,260,320,16223,4209
0,301497,34465,190,310,15218,1182
0,311563,70470,770,300,14212,8156
0,321628,55475,980,290,13207,3133
0,331692,05480,840,280,12201,6110
0,341754,31485,330,280,11195,989
0,351815,44489,460,270,10189,970
0,361875,53493,230,260,10183,851
0,371934,67496,640,260,09177,433
0,381992,93499,690,250,09170,917
0,392050,38502,380,250,08164,11
Falla por traccin
CpubMubeemufs'
0,23996,42423,250,420,26258,8443
0,22953,93412,550,430,27255,2436
0,21911,45401,280,440,28250,9428
0,20868,97389,410,450,28246,0419
0,19826,49376,890,460,29240,5410
0,18784,00363,670,460,30234,3399
0,17741,52349,710,470,31227,4388
0,16699,04334,920,480,31219,6374
0,15656,55319,220,490,32210,9359
0,14614,07302,470,490,33201,2342
0,13571,59284,540,500,33190,2322
0,12529,10265,190,500,34177,9299
0,11486,62244,160,500,34163,9271
0,10444,14221,050,500,33147,8238
0,09401,66195,260,490,32129,0197
0,08359,17165,920,460,30106,7147
30cm*45cm con un =3%
COLUMNA
BASE (m)0,3
ALTURA (m)0,45
AREA (Ag)0,13545
cuanta %0,03
Ast (m2)0,00405
As(m2)0,00202530
d (m)0,39
d (m)0,06
fs (KN/m2)1694,1176materialespsiMpa kpa
0,7concreto (fc)40002828000
acero (f)60000420420000
Falla balanceada
cb (m)pub (KN)Mube (m)e (m)muPmxPmin
0,2294974,61481,540,490,33320,73417378
Falla por compresin
CpubMubeemufs (Mpa)
0,23974,61481,540,490,33320,7420
0,241077,48489,640,450,29311,9377
0,251175,52497,390,420,26303,4338
0,261269,27504,770,400,23295,3302
0,271359,21511,790,380,21287,5269
0,281445,76518,450,360,19279,9237
0,291529,26524,740,340,18272,4209
0,301610,02530,680,330,16265,0182
0,311688,31536,260,320,15257,7156
0,321764,35541,470,310,14250,4133
0,331838,36546,330,300,13243,0110
0,341910,51550,820,290,12235,689
0,351980,96554,950,280,12228,170
0,362049,86558,720,270,11220,551
0,372117,32562,130,270,10212,833
0,382183,47565,180,260,09204,917
0,392248,40567,860,250,09196,91
Falla por traccin
CpubMubeemufs'
0,231007,32492,330,490,32326,1443
0,22964,84480,520,500,33321,3436
0,21922,36468,030,510,34315,8428
0,20879,87454,810,520,35309,6419
0,19837,39440,810,530,36302,6410
0,18794,91425,940,540,37294,8399
0,17752,42410,130,550,38286,0388
0,16709,94393,260,550,39276,1374
0,15667,46375,200,560,40265,1359
0,14624,97355,760,570,40252,6342
0,13582,49334,710,570,41238,6322
0,12540,01311,740,580,41222,6299
0,11497,53286,420,580,41204,3271
0,10455,04258,140,570,40183,1238
0,09412,56226,030,550,38158,0197
0,08370,08188,790,510,35127,7147
COLUMNA
BASE (m)0,3
ALTURA (m)0,45
AREA (Ag)0,135
cuanta %0,0445
Ast (m2)0,0054
As(m2)0,0027
d (m)0,39
d (m)0,0630
fs (KN/m2)1694,117647materialespsiMpa kpa
0,7concreto (fc)40002828000
acero (f)60000420420000
Falla balanceada
cb (m)pub (KN)Mube (m)e (m)muPmxPmin
0,2294974,61547,030,560,40386,23814378
Falla por compresin
CpubMubeemufs (Mpa)
0,23974,61547,030,560,40386,2420
0,241097,62555,130,510,34374,0377
0,251214,16562,870,460,30362,5338
0,261325,00570,260,430,27351,6302
0,271430,77577,280,400,24341,2269
0,281532,00583,930,380,22331,2237
0,291629,17590,230,360,20321,4209
0,301722,69596,170,350,18311,9182
0,311812,92601,750,330,17302,6156
0,321900,15606,960,320,15293,4133
0,331984,67611,810,310,14284,3110
0,342066,70616,310,300,13275,389
0,352146,48620,440,290,12266,370
0,362224,18624,210,280,12257,251
0,372299,97627,620,270,11248,133
0,382374,01630,670,270,10239,017
0,392446,43633,350,260,09229,71
Falla por traccin
CpubMubeemufs'
0,231018,23561,420,550,39393,4443
0,22975,74548,500,560,40387,5436
0,21933,26534,780,570,41380,8428
0,20890,78520,220,580,42373,2419
0,19848,29504,730,590,43364,8410
0,18805,81488,210,610,44355,3399
0,17763,33470,550,620,45344,6388
0,16720,84451,610,630,46332,7374
0,15678,36431,190,640,47319,3359
0,14635,88409,050,640,48304,1342
0,13593,40384,890,650,48287,0322
0,12550,91358,290,650,49267,4299
0,11508,43328,670,650,48244,8271
0,10465,95295,230,630,47218,3238
0,09423,46256,810,610,44186,9197
0,08380,98211,660,560,39148,8147
0,07338,50157,050,460,30101,281
DIAGRAMA DE CUANTIAS TOTALES COLUMNA 30*45
COLUMNAS DE DIMENCIONES 45*30 CMPARA COLUMNA DE 45*30 CM CON =1%COLUMNA
BASE (m)0,45
ALTURA (m)0,3
AREA (Ag)0,13530
cuanta %0,01
Ast (m2)0,00135
As(m2)0,000675
d (m)0,2445
d (m)0,06materialespsiMpa kpa
fs (KN/m2)811,764706concreto (fc)40002828000
0,7acero (f)60000420420000
Falla balanceada
cb (m)pub (KN)Mube (m)e (m)muPmxPmin
0,1412899,64197,660,220,13116,72624378
Falla por compresin
CpubMubeemufs (Mpa)
0,14899,64197,660,220,13116,7420
0,15995,24205,030,210,12115,5353
0,161086,89211,870,190,10114,0293
0,171175,28218,160,190,10112,4241
0,181260,94223,910,180,09110,4195
0,191344,31229,120,170,08108,1153
0,201425,73233,790,160,07105,5116
0,211505,47237,910,160,07102,482
0,221583,76241,500,150,0699,051
0,231660,79244,540,150,0695,123
0,241736,72247,040,140,0590,7-3
0,251811,67249,000,140,0586,0-27
0,261885,77250,420,130,0480,7-49
0,271959,10251,300,130,0475,0-69
0,282031,75251,630,120,0368,8-88
0,292103,78251,420,120,0362,1-105
0,302175,27250,670,120,0354,9-122
0,312246,25249,380,110,0247,2-137
0,322316,78247,550,110,0239,0-152
Falla por traccin
CpubMubeemufs'
0,14855,69190,190,220,13113,2343
0,13791,97180,530,230,14109,3323
0,12728,24170,040,230,14104,5300
0,11664,52158,660,240,1598,9273
0,10600,80146,270,240,1592,2240
0,09537,07132,720,250,1684,4200
0,08473,35117,780,250,1675,2150
0,07409,62101,080,250,1664,286
PARA COLUMNA DE 45*30 CM CON =2%COLUMNA
BASE (m)0,45
ALTURA (m)0,3
AREA (Ag)0,13530
cuanta %0,02
Ast (m2)0,0027
As(m2)0,00135
d (m)0,2445
d (m)0,06materialespsiMpa kpa
fs (KN/m2)811,7647059concreto (fc)40002828000
0,7acero (f)60000420420000
Falla balanceada
cb (m)pub (KN)Mube (m)e (m)muPmxPmin
0,1412899,64233,380,260,17152,43020378
Falla por compresin
CpubMubeemufs (Mpa)
0,1412899,64233,380,260,17152,4420
0,151012,57239,910,240,15148,8360
0,161132,99246,810,220,13144,8300
0,171246,75253,170,200,11141,0247
0,181354,94258,980,190,10137,0200
0,191458,45264,260,180,09133,0158
0,201557,99268,990,170,08128,8120
0,211654,11273,180,170,08124,386
0,221747,29276,830,160,07119,655
0,231837,91279,930,150,06114,526
0,241926,29282,500,150,06109,10
0,252012,69284,520,140,05103,4-24
0,262097,35286,000,140,0597,2-46
0,272180,46286,940,130,0490,7-67
0,282262,19287,340,130,0483,7-86
0,292342,67287,200,120,0376,4-103
0,302422,04286,510,120,0368,5-120
0,312500,39285,290,110,0260,3-135
0,322577,83283,520,110,0251,5-150
0,332654,44281,210,110,0242,3-164
0,342730,30278,360,100,0132,6-176
0,352805,46274,960,100,0122,5-189
Falla por traccin
CpubMubeemufs'
0,15882,97229,710,260,17150,2360
0,14819,24219,350,270,18145,6343
0,13755,52208,010,280,19140,0323
0,12691,79195,560,280,19133,3300
0,11628,07181,850,290,20125,3273
0,10564,35166,680,300,21115,9240
0,09500,62149,730,300,21104,7200
0,08436,90130,530,300,2191,2150
0,07373,17108,370,290,2074,886
PARA COLUMNA DE 45*30 CM CON =3%COLUMNA
BASE (m)0,45
ALTURA (m)0,3
AREA (Ag)0,135
cuanta %0,0330
Ast (m2)0,00405
As(m2)0,002025
d (m)0,2445
d (m)0,06materialespsiMpa kpa
fs (KN/m2)811,76471concreto (fc)40002828000
0,7acero (f)60000420420000
Falla balanceada
cb (m)pub (KN)Mube (m)e (m)muPmxPmin
0,1412899,64269,100,300,21188,13417378
Falla por compresin
CpubMubeemufs (Mpa)
0,1412899,64269,100,300,21188,1420
0,151040,92275,630,260,17182,0360
0,161189,69282,530,240,15175,5300
0,171328,46288,890,220,13169,3247
0,181458,89294,700,200,11163,4200
0,191582,30299,980,190,10157,6158
0,201699,74304,710,180,09151,7120
0,211812,06308,900,170,08145,886
0,221919,97312,550,160,07139,755
0,232024,04315,650,160,07133,526
0,242124,74318,220,150,06127,00
0,252222,48320,240,140,05120,2-24
0,262317,61321,720,140,05113,1-46
0,272410,41322,660,130,04105,7-67
0,282501,14323,060,130,0498,0-86
0,292590,00322,920,120,0389,8-103
0,302677,19322,230,120,0381,3-120
0,312762,86321,010,120,0372,3-135
0,322847,16319,240,110,0263,0-150
0,332930,21316,930,110,0253,2-164
0,343012,13314,080,100,0143,0-176
0,353093,01310,680,100,0132,3-189
0,363172,93306,750,100,0121,2-200
Falla por traccin
CpubMubeemufs'
0,1500846,52260,330,310,22184,1360
0,14782,79248,510,320,23178,1343
0,13719,07235,480,330,24170,8323
0,12655,34221,070,340,25162,1300
0,11591,62205,050,350,26151,8273
0,10527,90187,090,350,26139,6240
0,09464,17166,740,360,27125,0200
0,08400,45143,290,360,27107,3150
0,07336,72115,660,340,2585,486
PARA COLUMNA DE 45*30 CM CON =4%COLUMNA
BASE (m)0,45
ALTURA (m)0,3
AREA (Ag)0,135
cuanta %0,0430
Ast (m2)0,0054
As(m2)0,0027
d (m)0,2445
d (m)0,06materialespsiMpa kpa
fs (KN/m2)811,76471concreto (fc)40002828000
0,7acero (f)60000420420000
Falla balanceada
cb (m)pub (KN)Mube (m)e (m)muPmxPmin
0,1412899,64304,820,340,25223,93814378
Falla por compresin
CpubMubeemufs (Mpa)
0,14899,64304,820,340,25223,9420
0,151069,27311,360,290,20215,1360
0,161246,39318,250,260,17206,1300
0,171410,18324,610,230,14197,7247
0,181562,84330,430,210,12189,8200
0,191706,14335,700,200,11182,1158
0,201841,49340,430,180,09174,7120
0,211970,01344,620,170,08167,386
0,222092,65348,270,170,08159,955
0,232210,16351,370,160,07152,526
0,242323,19353,940,150,06144,90
0,252432,27355,960,150,06137,1-24
0,262537,87357,440,140,05129,0-46
0,272640,36358,380,140,05120,8-67
0,282740,09358,780,130,04112,2-86
0,292837,33358,640,130,04103,3-103
0,302932,34357,950,120,0394,0-120
0,313025,32356,730,120,0384,4-135
0,323116,48354,960,110,0274,5-150
0,333205,98352,650,110,0264,1-164
0,343293,96349,800,110,0253,3-176
Falla por traccin
CpubMubeemufs'
0,1600899,64302,940,340,25223,9375
0,15842,47290,940,350,26215,1360
0,14778,74277,670,360,27207,6343
0,13715,02262,960,370,28198,6323
0,12651,29246,590,380,29188,0300
0,11587,57228,240,390,30175,4273
0,10523,85207,500,400,31160,4240
0,09460,12183,750,400,31142,3200
0,08396,40156,050,390,30120,4150
0,07332,67122,950,370,2893,086
DIAGRAMA DE CUANTIAS TOTALES
INTRODUCCIONEn este informe determinaremos el comportamiento de una columna de 30*45 Centmetros y 45*30 cm, el rea de refuerzo longitudinal de la columna son de 1%, 2%,3%y 4% del rea total Ag de la seccin y una tabla resumen al final de cada columna para mostrar las diferencias de momento y la resistencia de diseo a fuerza axial de los elementos sometidos a compresin teniendo tambin en cuenta la excentricidad de la carga medida desde el centro del refuerzo en traccin, dndonos as diferentes resultados.
Conclusiones El diseo de una seccin de cualquier columna de concreto reforzado, se puede establecer un diagrama de interaccin calculando los puntos correspondientes Pub, Mu para si establecer el funcionamiento de dicha seccin. Los diagramas de compreion-flexion se pueden tomar como ayuda para diseos de estructuras teniendo en cuenta las condiciones de equilibrio y compatibilidad de deformaciones que aparecen el el reglamento colombiano.
DISEO DE COLUMNAS COLUMNAS 30*45 Y 45*30 CM
JHON FELIPE ABRIL ALFONSO
UNIVERSIDAD SANTO TOMAS TUNJA - BOYACA2014